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A gap sequence with gaps bigger than the Hadamard's

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Publication:773771
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DOI10.2748/tmj/1178244355zbMath0099.05101OpenAlexW2089171407MaRDI QIDQ773771

Shigeru Takahashi

Publication date: 1961

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178244355


zbMATH Keywords

approximation and series expansion



Related Items

On the central limit theorem for \(f(n_{k}x)\) ⋮ Strong approximation of lacunary series with random gaps ⋮ Statistical independence in mathematics -- the key to a Gaussian law ⋮ On the distribution of values of the type \(\sum f(q^ k t)\) ⋮ The central limit theorem for Riesz-Raikov sums ⋮ PROBABILITY AND METRIC DISCREPANCY THEORY ⋮ On certain systems of almost independent functions ⋮ On permutations of Hardy-Littlewood-Pólya sequences



Cites Work

  • Notes on Fourier analysis. XVI: On the strong law of large numbers and gap series
  • On the distribution of values of sums of the type \(\sum f(2^kt)\)
  • Probability methods in some problems of analysis and number theory
  • A Central Limit Theorem for Uniformly Bounded Orthonormal Systems
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